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Simplifying 3(x + 6) + -2(x + -1) = 4(x + 7) Reorder the terms: 3(6 + x) + -2(x + -1) = 4(x + 7) (6 * 3 + x * 3) + -2(x + -1) = 4(x + 7) (18 + 3x) + -2(x + -1) = 4(x + 7) Reorder the terms: 18 + 3x + -2(-1 + x) = 4(x + 7) 18 + 3x + (-1 * -2 + x * -2) = 4(x + 7) 18 + 3x + (2 + -2x) = 4(x + 7) Reorder the terms: 18 + 2 + 3x + -2x = 4(x + 7) Combine like terms: 18 + 2 = 20 20 + 3x + -2x = 4(x + 7) Combine like terms: 3x + -2x = 1x 20 + 1x = 4(x + 7) Reorder the terms: 20 + 1x = 4(7 + x) 20 + 1x = (7 * 4 + x * 4) 20 + 1x = (28 + 4x) Solving 20 + 1x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 1x + -4x = 28 + 4x + -4x Combine like terms: 1x + -4x = -3x 20 + -3x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -3x = 28 + 0 20 + -3x = 28 Add '-20' to each side of the equation. 20 + -20 + -3x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 28 + -20 -3x = 28 + -20 Combine like terms: 28 + -20 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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